How to Find GCF of 5736/290, 3004/9279?

GCF of 5736/290, 3004/9279

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 5736/290, 3004/9279 i.e 4/2690910 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5736/290, 3004/9279.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 5736/290,3004/9279?

Given fractions are 5736/290,3004/9279

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 5736/290,3004/9279, numerators are 5736,3004

Denominators are 290,9279

The GCF of 5736,3004 is 4 .

LCM of 290,9279 is 2690910.

The greatest common factor of 5736/290,3004/9279 = [GCF of 5736,3004]/[LCM of 290,9279]= 4/2690910

Therefore, the GCF of 5736/290,3004/9279 is 4/2690910.

Greatest Common Factor of 5736,3004

To find the highest common factor of 5736,3004, we have to find the factors of both numbers and list the highest common factor.

The factors of 5736 are 1, 2, 3, 4, 6, 8, 12, 24, 239, 478, 717, 956, 1434, 1912, 2868, 5736

The factors of 3004 are 1, 2, 4, 751, 1502, 3004

The HCF of 5736,3004 is 4.

Lets's calculate GCF of 5736,3004

Greatest Common Factor (GCF) of 5736,3004 By Common Division

2	5736, 3004
2	2868, 1502
	1434, 751

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 5736,3004 By Matching Biggest Common Factor Method

Now, list down the factors of 5736

1,2,3,4,6,8,12,24,239,478,717,956,1434,1912,2868,5736

Now, list down the factors of 3004

1,2,4,751,1502,3004

Greatest Common Factor

We found the factors 5736,3004 . The biggest common factor number is the GCF number.
So the greatest common factor 5736,3004 is 4.

Lets's calculate LCM of 290,9279

Lowest Common Multiple of 290,9279 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2690910

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2690910

Therefore, the GCF of Fractions 5736/290,3004/9279 is 4/2690910

Least Common Multiple of 290,9279 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 290,9279 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(290,9279) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(290,9279) x common factors =1 x 1 = 1

LCM(290,9279) = ( 290 × 9279 ) / 1

LCM(290,9279) = 2690910 / 1

LCM(290,9279) = 2690910

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FAQs on GCF of Fractions of 5736/290, 3004/9279

1. What is the HCF of 5736,3004?

The HCF of 5736,3004 is 4

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 5736/290, 3004/9279?

Answer: GCF of Numerators as per given numbers 5736/290, 3004/9279 is

GCF of Numerators i.e. for 5736,3004 is 4

LCM of denominators i.e. for 290,9279 is 2690910.

Thus, GCF of Fractions is 4/2690910.Finally, GCF of Fractions for 5736/290, 3004/9279 is 4/2690910.